Other formats:
BibTeX
LaTeX
RIS
@inproceedings{2394730,
author = {Arvanitoyeorgos, Andreas and Chrysikos, Ioannis and Sakane, Yusuke},
address = {Hackensack, NJ},
booktitle = {Recent progress in differential geometry and its related fields : Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields},
doi = {http://dx.doi.org/10.1142/9789814355476_0001},
editor = {Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov},
keywords = {Homogeneous Einstein metric; Generalized flag manifold; Gröbner basis},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Hackensack, NJ},
isbn = {978-981-4355-46-9},
pages = {1-24},
publisher = {World Scientific Publishing Co. Pte. Ltd.},
title = {Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q))},
url = {https://www.worldscientific.com/doi/suppl/10.1142/8187/suppl_file/8187_chap01.pdf},
year = {2011}
}
TY - JOUR
ID - 2394730
AU - Arvanitoyeorgos, Andreas - Chrysikos, Ioannis - Sakane, Yusuke
PY - 2011
TI - Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q))
PB - World Scientific Publishing Co. Pte. Ltd.
CY - Hackensack, NJ
SN - 9789814355469
KW - Homogeneous Einstein metric
KW - Generalized flag manifold
KW - Gröbner basis
UR - https://www.worldscientific.com/doi/suppl/10.1142/8187/suppl_file/8187_chap01.pdf
N2 - We construct the Einstein equation for an invariant Riemannian metric on generalized flag manifolds Sp(n)/(U(p) × U(q) × Sp(n − p − q)). By computing a Gröbner basis for a system of polynomials on six variables, we prove that the generalized flag manifolds Sp(3)/(U(1) × U(1) × Sp(1)), Sp(4)/(U(1) × U(1) × Sp(2)) and Sp(4)/(U(2) × U(1) × Sp(1)) admit exactly three, six and two non-Kähler invariant Einstein metrics up to isometry, respectively.
ER -
ARVANITOYEORGOS, Andreas, Ioannis CHRYSIKOS and Yusuke SAKANE. Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p)×U(q)×Sp(n−p−q)). In Toshiaki Adachi, Hideya Hashimoto, Milen J Hristov. \textit{Recent progress in differential geometry and its related fields : Proceedings of the 2nd International Colloquium on Differential Geometry and its Related Fields}. Hackensack, NJ: World Scientific Publishing Co. Pte. Ltd., 2011, p.~1-24. ISBN~978-981-4355-46-9. Available from: https://dx.doi.org/10.1142/9789814355476\_{}0001.
|
